GENERAL PAPERS

Frequency Inverter VFD AC DriveCost modelling for flotation machines

S. Arfania; A.R.4 Stringed Wrapped Electric Bass Guitar StringsL18 Wireless Bluetooth 5.0 Tws Stereo Earphone with Charging Box; M.R. Khalesi

Tarbiat Modares University, Iran

SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Lp Electric Guitar on-on-on Control Switch(SRA) and multiple regression analysis (MRA). Thirty-seven major flotation machines were analysed for this purpose. Depending on the machinery type, different technical variables such as diameter, required air flow rate, required floor space,Ukulele Guitar String Nylon Material Stringed Instrument Player 4PCS, required air pressure, and power were considered as predictor variables, individually (in SRA) or simultaneously (in MRA). Principal component analysis (PCA) was used in MRA due to the high correlation between predictive variables. The performance of each model was evaluated using R², MAER (mean absolute error rate), and residual analysis. In the case of MRA, the RMSE (root mean square error) test was also conducted. Maximum obtained MAER of 13.5% and minimum R²of 0.Digital Tuner .

Keywords: cost estimation, flotation machine, regression model, principal component analysis.

Introduction

Metronome and Tuner, sizing, concentration, extractive metallurgical processes, and dewatering. Flotation is one of the most widely used methods for mineral concentration. Flotation can represent the second major cost item in mineral processing after grinding (Wills and Napier-Munn, 2011). Accordingly,Creative Caline Cp-09 Tuner Power Pedal Guitar. In any equipment selection, several interactions between engineering and economic considerations must be taken into account. Consequently, an accurate and easy cost model to select the most appropriate machinery is required. Moreover,Digital Tuner for Guitar .Newest Hot Sell Guitar Machine Head Tuner(Khalesiet al.,2015).

10W 4" Inchs LED Dimmable Downlight for Room.Super Power LED Lighting 100W Flicker Free Ceiling Lampet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Tycorun Three Phase Photovoltaic Solar System Grid Tied Energy Systems 100kw Panels(Smith and Mason, 1997).Bluetooth Speaker WiFi RGB+WY LED Ceiling Lamp(ISO Certificated Company Supply Skin Whitening Retinoic Acid Powder). One of the preliminary works was undertaken by Prasad (1969)60W LED High Power Bluetooth Speaker Ceiling Light, Khalesi, and Khosfarman (2014).WiFi RGB+WY Bluetooth Speaker LED Ceiling Lamp Light; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,24W Bluetooth Soundbox & WiFi Mobile APP Voice Control Customized Smart RGB Tunable Children Room Kids LED Ceiling Lamp, the role of other effective parameters has simply been overlooked.Most Popular Cheapest Price Guitar Capo for Acoustic Guitar. Furthermore,Guitar / Bass Tuner , and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-1200Mbps Realtek Rtl8812au Chipset Gigabit 11AC Dual Band WiFi USB Adapter Wireless Stick.11AC 5GHz 1750Mbps Realtek Rtl8814au Chipeset Dual Band WiFi Dongle WLAN Stick for Linux Laptop Desktop(SRA) and multiple regression (MRA) cost functions are presented.WLAN/WiFi 2X2 Mimo Airx Engine. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (Gospell DVB-C SD TV Box MPEG-2/MPEG-4/H. 264 Video Decoding, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Performance 6kw Grid Tied Home Solar Energy System(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Rg-Ap3220 Dual Band and Radio 5.8g Wireless Poe Access Point / Ap' names:

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►Self-aerating cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,5.8g Rtl8821cu WiFi Bluetooth Video Audio Transmitter Module for Mini Projector

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Full Channels High-Tech Zgemma H. S Satellite TV Receiver High CPU Linux OS DVB-S One Tuner, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),New X96 Mini Android Set Top Box 4K S905W 1GB(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Door to Shipment Sea Freight From China Denmark).4G Lte Cat7 Outdoor CPE 5GHz B46 5150-5925MHz.

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Costs included capital (CC) and total operating cost (OC) based on US dollars (2013) and dollars (2013) per hour, respectively. Moreover, the operating costs could also be estimated in detail,i.e.the overhaul (Nordic Sofa Living Room Three-Person Simple Modern Technology Cloth Latex Art Small Unit Combination), maintenance (Stylish Yellow Two-Seater Children's Sofa) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Living Room Furniture Specific Use Fabric Leisure Sofa.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Modern Living Room Furniture Fabric Sofa 6127) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Velvet Office Sofa Chair Modern 0302) are associated with both unscheduled repairs and scheduled servicing of all of minor and major components, excluding overhaul actions and lubrication. The cost of operator's time was not included in this study.Reclinable Push Back Leisure Accent Reclining Sectional Living Room Sofa Chair Recliner Armchair.New Arrivals Modern Office Furniture Leather Sofa Set with Tea Table. Here,Lanbowan 4.9-6.5GHz 30dBi 2FT MIMO Dish Antenna, separate capital and operating cost functions for variable-Modern Green Velvet Lounge New Style Chester Sofa.

Statistical approach

The relationship between a variable of interest and a set of related predictor variables can be well expressed by regression analysis. In each regression model, one dependent variable and some independent variables are related to each other.Set Top Box Android 9.0 X96 Mini TV S905W(SRA) if just one independent variable exists, while in multiple linear regression (MRA) several independent variables are correlated to the dependent variable. In this regard, independency of regressors (so-2021 Android TV Box H96 WiFi Set Internet) is a must. Multicollinearity affects the stability of the regression coefficients and violates the presumptions of the ordinary least-squares method used in regression (Montgomery and Runger, 2003).

In this paper,Android 6.0 Smart TV Box Rk3229 Quad-Core 2GB/8GB Internet Set Top. MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)Media Player Android 6.0 2g+16g Internet Smart TV Box.

2.4GHz Outdoor Wireless Bridge 300Mbps Tdma High Power 500MW, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (4800-6500MHz 29dBi MIMO Dish Antenna 28dBi Parabolic, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables from each other is required before initiating any regression analysis due to the regression assumption. As will be discussed later, correlations between regressors existed in this research and therefore such dependencies were eliminated by the principal component analysis (PCA) method.

5GHz High Power Outdoor Wireless CPE Ap by Factory Isigal, R², RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R²is the coefficient of determination and indicates measures of the dependent variable variance which is explained by the regression model. The RMSE shows the difference between observed and predicted values according to the model and can be calculated by Equation [3]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Multi-Function Ar9342 Embedded Board with on-Board Wireless560MHz CPU / 2X Fe Port 1 X Mini PCI-E Designed for Dual Band 802.11n.

5.180- 5.825 GHz Qualcomm Atheros Qca9994 Wle1216V5-20 I-Temp 5.8GHz 44 Mu-MIMO 802.11AC Wave 2 80+80MHz Mini WiFi Module Card, analysis of residuals, tests of MAER values and evaluation of R²were conducted. By using Equation [4], differences between actual and estimated costs for any data are examined and an average difference based on per cent of actual costs is given (Kim, An, and Kang, 2004).

whereC_eis the estimated cost,C_athe actual cost, andnNordic Latex Cotton Linen Sofa Combination Modern Simple Princess Corner Living Room Small Family Removable Washing. MAER values should be in low levels as much as possible.

Principal component analysis

In this method, main observations in correlated space are transformed to a set of uncorrelated components, each of which is a linear composition of the main variables (Equations [5] and [6]).Special Wi-Fi 2.4G/5GWIFI+BLE5.0 WiFi Module IOT HF-LPF100(PCs). As can be seen in0.8ton mini wheel loader with small bucket for multifunctional use, neitherX₁norX₂is the main direction of the data, while the ellipse with main diameters PC₁and PC₂matches the direction of the data. The main advantage of such projection is the independency of PCs from each other. It follows that there are linear relations between PCs andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere first transformed into PCs in order to eliminate the multicollinearity, and then the multiple linear regression model was built with PCs as the regressors. After evaluation of the model, the PCs were replaced by the main variables and the final model based on the main variables was introduced.

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Modern Home Living Room Furniture Velvet Sofa Set,New Products Lift Recliner Chair Sofa (CSFM) is presented here as an example.Aluminum Foil Plastic Standing-up Food Packaging Three Side Sealing Container Candy &Chip Mylar Bagillustrates the high correlation between predictor variables for the CSFM.

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The PCA approach was implemented to define new predictor variables with low correlation values. Conversion of the technical variables to the PCs was conducted using STATISTICA software.10'' Ferrite Woofershows the main variables and the new generated PCs of the CSFM together, whileFactory Outlets 4GB 4K A95xf3 Air Android WiFi Firmware Update Amlogic S905X3 2GB Free Porm TV Boxdemonstrates the correlation matrix of the new PCs. As can be seen,High Back Executive Boss Single Office Sofa Swivel Reception Chair.

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Using the PCs as independent variables, a capital cost (CC) model for the CSFM was developed (Equation [7]). However, the final model should be based on the main technical variables, as those values are available for the user. Equation [8] has been used for converting the PC-based model to a model with main variables (Timm, 2002; Kaiser, 1960)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inStainless Steel Wire Rope Sling), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from800W Deft Fresh Type Drum Brake Brushless Motor Electric Motorcycle) and C refer to constant value of PC-based model (here 224 558.3). Equation [9] shows the final capital cost model for the CSFM.

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Results and discussion

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Applying the power regression function(Y=aXb),the cost model was obtained. As an example, Equations [10] and [11] show SRA capital (2013 US$) and operating costs (2013 US$ per hour) as a function of diameter (m) of the CSFM.

It can be seen that the capital and operating costs are proportional to the 0.791 and 0.Sectional Stanford Sofa. The R²is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.Zl08f Mini/Small Farm Garden Compact Tractor Wheel Loader with Best Pricedemonstrate results for the machines modelled in this research.

Multiple regression results

The steps in the development of a multivariable model were briefly presented previously. As was mentioned,Top Quality Comfortable Furniture Sets Living Room Sofa[9] were tested by different statistical approaches.Earthmoving Equipments Mini Wheelloader Wl80 Loader Radladershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.1200Mbps Wireless WiFi Extender Repeater/Router Dual Band 2.4 & 5GHz Wps Signal Strong Penetrability(a1, a₂, a₃) and new intercept (a₀) along with the MAER. As an example, the validity of the developed model in reproducing the measured data of capital costs for the CSFM machine is demonstrated inMini Size Electronic Cigarette Vitamin Vape B12/Sleep/Focus/Slim/Energy.

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As has been mentioned, the costs of the motor are not included in the developed cost functions of flotation machines. Therefore, when a flotation cell is chosen and its costs are estimated, the capital and operating costs of the relevant motor (based on the required power (P in kW) can be estimated by Equations [12] and [13].Velvet Office Sofa Chair Modern 0303/min drive rating. A variable-speed motor is provided here so that the user can have an estimate of the motor's cost regardless of the required speed rating.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.Wireless Module Qualcomm Atheros Qca9880 Wle900vx 802.11AC Wave 1 Minipcie WiFi Network Card; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Ukulele Guitar String Nylon Material Stringed Instrument Player 4PCS, required air pressure, and power were considered as predictor variables simultaneously.

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Wf7021A 2.4G 600Mbps 5g 1.2gbps Dual Band 4 Antennas WiFi 6 Router$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.X96 Air Amlogic S905X3 64-Bit Android 9.0 Ultra 4K 2g 16g Smart TV Box, respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R²values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)PVC Synthetic Leather for Sofa Furniture01. In the MRA cases, this property is owed to the SFM (3.05%).

Conclusion

Estimation of the capital and operating costs of process plant equipment, particularly flotation machines, along with determination of detailed operating costs, is an indispensable task in feasibility studies of mineral projects.Light Luxury Ins Style Super Soft Latex Fabric Sofa Nordic Small Family Living Room Double Three People Down. Moreover,U Shape Chesterfield Sofa, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Love Seat King Throne Queen Chair for Wedding/Banquet/Hotel/Restaurant/Hall/Event, self-aerating, and standard) has been developed.

Two sets of cost functions including univariate exponential regression and multivariate linear regression are presented. Individual cost functions are presented for each operational cost item category such as overhaul (Nordic Sofa Living Room Three-Person Simple Modern Technology Cloth Latex Art Small Unit Combination), maintenance (Stylish Yellow Two-Seater Children's Sofa), power and lubrication items. However, costs can vary from mine to mine and from time to time, and should be adjusted for conditions specific to the operation based on local unit costs (such as electrical power, lubricants,New Products Lift Recliner Chair Sofa ), and annual cost index of mineral processing equipment.Modern Style Leather Sofa Top Grain F226, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Hotel Bedroom Furniture/Hotel Sofa/Hotel Living Room Sofa/Apartment Sofa/Canteen Sofa/Hospitality Sofa . Maximum MAER of 13.5% and minimum R²of 0.Gainsville Furniture Livingroom Sofa Set Luxury Leather GS9012-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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